foki 100x^2+36y^2=225

Lösung

foki

100 x^{2} + 36 y^{2} = 225

(0, 2), (0, - 2)

Schritte zur Lösung

(h, k + c), (h, k - c)

Calculate ellipse properties

100 x^{2} + 36 y^{2} = 225 :

Ellipse with center

(h, k) = (0, 0), b = \frac{5}{2}, a = \frac{3}{2}

(0, 0 + c), (0, 0 - c)

Compute

c :

c = (\frac{5}{2})^{2} - (\frac{3}{2})^{2} : 2

(0, 0 + 2), (0, 0 - 2)

Fasse zusammen

(0, 2), (0, - 2)

f oc i 4 x^{2} + 9 y^{2} - 32 x - 36 y + 64 = 0

f oc i 9 x^{2} - 54 x + y^{2} + 2 y + 46 = 0

f oc i \frac{x ^{2}}{8 ^{2}} + \frac{y ^{2}}{4 ^{2}} = 1

f oc i \frac{( x - 2 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{36} = 1

f oc i \frac{( x - 6 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{25} = 1